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for what value of k will the set of planes intersect in a line?
x+2y-z=0
x+9y-5z=0
Kx-y+z=0
for three planes to intersect on a line they gotta have infinite solutions
→ Δ=0 i.e; det of coefficients of planes is 0
→ 1*(9-5)-2*(1+5k)-1(-1-9k)=0
→ k=3
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